| 子矩阵约束下的广义中心对称矩阵反问题研究 |
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| 引用本文： | 张华珍,何楚宁.子矩阵约束下的广义中心对称矩阵反问题研究[J].湖南城建高等专科学校学报,2010(4):33-36. |
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| 作者姓名： | 张华珍 何楚宁 |
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| 作者单位： | [1]湘西民族职业技术学院,湖南吉首416000 [2]湖南师范大学数学系,长沙410081 |
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| 摘 要： | 讨论子矩阵约束下矩阵方程AX=B的广义中心对称解及其最佳逼近,分析了解存在的充要条件及通解的表达式,并且给出了解集合中与给定矩阵的最佳逼近.
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| 关 键 词： | 广义中心对称矩阵 商奇异值分解 最佳逼近 |
Inverse Problem of Generalized Centrosymmetric Matrices with a Submatrix Constraint |
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| ZHANG Hua-zhen,HE Chu-ning.Inverse Problem of Generalized Centrosymmetric Matrices with a Submatrix Constraint[J].Journal of Hunan Urban Construction College,2010(4):33-36. |
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| Authors: | ZHANG Hua-zhen HE Chu-ning |
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| Affiliation: | 1.National Vocational and Technical College in Xiangxi,Jishou,Hunan 416000,China;2.Department of Mathematics,Hunan Normal University,Changsha,Hunan 410081,China) |
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| Abstract: | The paper discusses the solutions of inverse problem AX=B for Generalized centrosymmetric Matrices with a submatrix constraint and its Optimal Approximation.The necessary and sufficient conditions for the existence and the expression of the general solutions are given.Moreover,in the solution set of corresponding problem,the expression of the optimal approximation solution to given matrix is derived. |
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| Keywords: | generalized centro-symmetric matrices quotient singular value decomposition optimal approximation |
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